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Decomposition Principle for Linear Programs

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Cited by:

  1. Imelda & Matthias Fripp & Michael J. Roberts, 2018. "Variable Pricing and the Cost of Renewable Energy," Working Papers 2018-2, University of Hawaii Economic Research Organization, University of Hawaii at Manoa.
  2. Klose, Andreas & Gortz, Simon, 2007. "A branch-and-price algorithm for the capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1109-1125, June.
  3. Desrosiers, Jacques & Gauthier, Jean Bertrand & Lübbecke, Marco E., 2014. "Row-reduced column generation for degenerate master problems," European Journal of Operational Research, Elsevier, vol. 236(2), pages 453-460.
  4. Guy Desaulniers & François Lessard & Ahmed Hadjar, 2008. "Tabu Search, Partial Elementarity, and Generalized k -Path Inequalities for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 42(3), pages 387-404, August.
  5. Ahmadi-Javid, Amir & Amiri, Elahe & Meskar, Mahla, 2018. "A Profit-Maximization Location-Routing-Pricing Problem: A Branch-and-Price Algorithm," European Journal of Operational Research, Elsevier, vol. 271(3), pages 866-881.
  6. Thomas L. Magnanti, 2021. "Optimization: From Its Inception," Management Science, INFORMS, vol. 67(9), pages 5349-5363, September.
  7. Yu Zhou & Leishan Zhou & Yun Wang & Xiaomeng Li & Zhuo Yang, 2017. "A practical model for the train-set utilization: The case of Beijing-Tianjin passenger dedicated line in China," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-24, May.
  8. José M. Valério de Carvalho, 2005. "Using Extra Dual Cuts to Accelerate Column Generation," INFORMS Journal on Computing, INFORMS, vol. 17(2), pages 175-182, May.
  9. Laumer, Simon & Barz, Christiane, 2023. "Reductions of non-separable approximate linear programs for network revenue management," European Journal of Operational Research, Elsevier, vol. 309(1), pages 252-270.
  10. Fırat, M. & Briskorn, D. & Laugier, A., 2016. "A Branch-and-Price algorithm for stable workforce assignments with hierarchical skills," European Journal of Operational Research, Elsevier, vol. 251(2), pages 676-685.
  11. N. Edirisinghe & E. Patterson, 2007. "Multi-period stochastic portfolio optimization: Block-separable decomposition," Annals of Operations Research, Springer, vol. 152(1), pages 367-394, July.
  12. Christiane B. Haubitz & Ulrich W. Thonemann, 2021. "How to Change a Running System—Controlling the Transition to Optimized Spare Parts Inventory Policies," Production and Operations Management, Production and Operations Management Society, vol. 30(5), pages 1386-1405, May.
  13. Les Foulds & Daniel Duarte & Hugo Nascimento & Humberto Longo & Bryon Hall, 2014. "Turning restriction design in traffic networks with a budget constraint," Journal of Global Optimization, Springer, vol. 60(2), pages 351-371, October.
  14. Muter, İbrahim & Birbil, Ş. İlker & Bülbül, Kerem, 2018. "Benders decomposition and column-and-row generation for solving large-scale linear programs with column-dependent-rows," European Journal of Operational Research, Elsevier, vol. 264(1), pages 29-45.
  15. Ketabchi, Saeed & Behboodi-Kahoo, Malihe, 2015. "Augmented Lagrangian method within L-shaped method for stochastic linear programs," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 12-20.
  16. Ambros Gleixner & Stephen J. Maher & Benjamin Müller & João Pedro Pedroso, 2020. "Price-and-verify: a new algorithm for recursive circle packing using Dantzig–Wolfe decomposition," Annals of Operations Research, Springer, vol. 284(2), pages 527-555, January.
  17. A. Ruszczynski, 1993. "Regularized Decomposition of Stochastic Programs: Algorithmic Techniques and Numerical Results," Working Papers wp93021, International Institute for Applied Systems Analysis.
  18. Sinuany-Stern, Zilla, 2023. "Foundations of operations research: From linear programming to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1069-1080.
  19. El-Sharafy, M. Zaki & Farag, Hany E.Z., 2017. "Back-feed power restoration using distributed constraint optimization in smart distribution grids clustered into microgrids," Applied Energy, Elsevier, vol. 206(C), pages 1102-1117.
  20. Zhi‐Long Chen & Warren B. Powell, 2003. "Exact algorithms for scheduling multiple families of jobs on parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(7), pages 823-840, October.
  21. Stephen J. Maher, 2021. "Enhancing large neighbourhood search heuristics for Benders’ decomposition," Journal of Heuristics, Springer, vol. 27(4), pages 615-648, August.
  22. Rosefielde Steven, 2017. "Salvaging the European Union: The Inclusive Multi-Track Supranational Option," HOLISTICA – Journal of Business and Public Administration, Sciendo, vol. 8(3), pages 7-18, December.
  23. Ethem Çanakoğlu & İbrahim Muter & Tevfik Aytekin, 2021. "Integrating Individual and Aggregate Diversity in Top- N Recommendation," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 300-318, January.
  24. Perera, A.T.D. & Soga, Kenichi & Xu, Yujie & Nico, Peter S. & Hong, Tianzhen, 2023. "Enhancing flexibility for climate change using seasonal energy storage (aquifer thermal energy storage) in distributed energy systems," Applied Energy, Elsevier, vol. 340(C).
  25. Bhusiri, Narath & Qureshi, Ali Gul & Taniguchi, Eiichi, 2014. "The trade-off between fixed vehicle costs and time-dependent arrival penalties in a routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 62(C), pages 1-22.
  26. Rauchecker, Gerhard & Schryen, Guido, 2019. "An exact branch-and-price algorithm for scheduling rescue units during disaster response," European Journal of Operational Research, Elsevier, vol. 272(1), pages 352-363.
  27. Salani, Matteo & Vacca, Ilaria, 2011. "Branch and price for the vehicle routing problem with discrete split deliveries and time windows," European Journal of Operational Research, Elsevier, vol. 213(3), pages 470-477, September.
  28. Site Wang & Harsha Gangammanavar & Sandra Ekşioğlu & Scott J. Mason, 2020. "Statistical estimation of operating reserve requirements using rolling horizon stochastic optimization," Annals of Operations Research, Springer, vol. 292(1), pages 371-397, September.
  29. Cynthia Barnhart & Christopher A. Hane & Pamela H. Vance, 2000. "Using Branch-and-Price-and-Cut to Solve Origin-Destination Integer Multicommodity Flow Problems," Operations Research, INFORMS, vol. 48(2), pages 318-326, April.
  30. Miguel A. Lejeune & John Turner, 2019. "Planning Online Advertising Using Gini Indices," Operations Research, INFORMS, vol. 67(5), pages 1222-1245, September.
  31. Gérard, Matthieu & Clautiaux, François & Sadykov, Ruslan, 2016. "Column generation based approaches for a tour scheduling problem with a multi-skill heterogeneous workforce," European Journal of Operational Research, Elsevier, vol. 252(3), pages 1019-1030.
  32. Ogbe, Emmanuel & Li, Xiang, 2017. "A new cross decomposition method for stochastic mixed-integer linear programming," European Journal of Operational Research, Elsevier, vol. 256(2), pages 487-499.
  33. Sankaran, Jayaram K., 1995. "Column generation applied to linear programs in course registration," European Journal of Operational Research, Elsevier, vol. 87(2), pages 328-342, December.
  34. A. Ruszczynski, 1992. "Augmented Lagrangian Decomposition for Sparse Convex Optimization," Working Papers wp92075, International Institute for Applied Systems Analysis.
  35. Metrane, Abdelmoutalib & Soumis, François & Elhallaoui, Issmail, 2010. "Column generation decomposition with the degenerate constraints in the subproblem," European Journal of Operational Research, Elsevier, vol. 207(1), pages 37-44, November.
  36. Ponboon, Sattrawut & Qureshi, Ali Gul & Taniguchi, Eiichi, 2016. "Branch-and-price algorithm for the location-routing problem with time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 86(C), pages 1-19.
  37. Borzou Rostami & Guy Desaulniers & Fausto Errico & Andrea Lodi, 2021. "Branch-Price-and-Cut Algorithms for the Vehicle Routing Problem with Stochastic and Correlated Travel Times," Operations Research, INFORMS, vol. 69(2), pages 436-455, March.
  38. Irvin Lustig & Patricia Randall & Robert Randall, 2021. "Formulation Matters: Reciprocating Integer Programming for Birchbox Product Assortment," Interfaces, INFORMS, vol. 51(5), pages 347-360, September.
  39. Gonzalo Muñoz & Daniel Espinoza & Marcos Goycoolea & Eduardo Moreno & Maurice Queyranne & Orlando Rivera Letelier, 2018. "A study of the Bienstock–Zuckerberg algorithm: applications in mining and resource constrained project scheduling," Computational Optimization and Applications, Springer, vol. 69(2), pages 501-534, March.
  40. Haroldo Santos & Eduardo Uchoa & Luiz Ochi & Nelson Maculan, 2012. "Strong bounds with cut and column generation for class-teacher timetabling," Annals of Operations Research, Springer, vol. 194(1), pages 399-412, April.
  41. Belanger, Nicolas & Desaulniers, Guy & Soumis, Francois & Desrosiers, Jacques, 2006. "Periodic airline fleet assignment with time windows, spacing constraints, and time dependent revenues," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1754-1766, December.
  42. Letchford, Adam N. & Salazar-González, Juan-José, 2019. "The Capacitated Vehicle Routing Problem: Stronger bounds in pseudo-polynomial time," European Journal of Operational Research, Elsevier, vol. 272(1), pages 24-31.
  43. Ofer M. Shir & Xi. Xing & Herschel. Rabitz, 2021. "Multi-level evolution strategies for high-resolution black-box control," Journal of Heuristics, Springer, vol. 27(6), pages 1021-1055, December.
  44. Williams, R. Lynn & Dillion, Carl R. & McCarl, Bruce A., 1992. "An Economic Investigation of Edwards Aquifer Water Use Tradeoffs," WAEA/ WFEA Conference Archive (1929-1995) 321395, Western Agricultural Economics Association.
  45. John J. H. Forrest & Jayant Kalagnanam & Laszlo Ladanyi, 2006. "A Column-Generation Approach to the Multiple Knapsack Problem with Color Constraints," INFORMS Journal on Computing, INFORMS, vol. 18(1), pages 129-134, February.
  46. Zu-Jun Ma & Fei Yang & Ying Dai & Zuo-Jun Max Shen, 2021. "The Migratory Beekeeping Routing Problem: Model and an Exact Algorithm," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 319-335, January.
  47. Syam Menon & Rakesh Gupta, 2008. "Optimal Broadcast Scheduling in Packet Radio Networks via Branch and Price," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 391-399, August.
  48. Dorneles, Árton P. & de Araújo, Olinto C.B. & Buriol, Luciana S., 2017. "A column generation approach to high school timetabling modeled as a multicommodity flow problem," European Journal of Operational Research, Elsevier, vol. 256(3), pages 685-695.
  49. Eliashberg, Jehoshua & Hegie, Quintus & Ho, Jason & Huisman, Dennis & Miller, Steven J. & Swami, Sanjeev & Weinberg, Charles B. & Wierenga, Berend, 2009. "Demand-driven scheduling of movies in a multiplex," International Journal of Research in Marketing, Elsevier, vol. 26(2), pages 75-88.
  50. M. A. Venkataramana & John J. Dinkel & John Mote, 1991. "Vector processing approach to constrained network problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(1), pages 71-85, February.
  51. François Clautiaux & Cláudio Alves & José Valério de Carvalho & Jürgen Rietz, 2011. "New Stabilization Procedures for the Cutting Stock Problem," INFORMS Journal on Computing, INFORMS, vol. 23(4), pages 530-545, November.
  52. Zhiling Guo & Gary J. Koehler & Andrew B. Whinston, 2012. "A Computational Analysis of Bundle Trading Markets Design for Distributed Resource Allocation," Information Systems Research, INFORMS, vol. 23(3-part-1), pages 823-843, September.
  53. Jagadish Jampani & Scott Mason, 2008. "Column generation heuristics for multiple machine, multiple orders per job scheduling problems," Annals of Operations Research, Springer, vol. 159(1), pages 261-273, March.
  54. Desaulniers, Guy & Lavigne, June & Soumis, Francois, 1998. "Multi-depot vehicle scheduling problems with time windows and waiting costs," European Journal of Operational Research, Elsevier, vol. 111(3), pages 479-494, December.
  55. Zhixing Luo & Hu Qin & Wenbin Zhu & Andrew Lim, 2017. "Branch and Price and Cut for the Split-Delivery Vehicle Routing Problem with Time Windows and Linear Weight-Related Cost," Transportation Science, INFORMS, vol. 51(2), pages 668-687, May.
  56. Zalai, Ernő, 2008. "Műszaki és gazdasági hatékonyság Koopmans termeléselméletében [Technical and economic efficiency in Koopmans theory of production]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(1), pages 3-24.
  57. Fan, Wei & Machemehl, Randy, 2004. "A Multi-stage Monte Carlo Sampling Based Stochastic Programming Model for the Dynamic Vehicle Allocation Problem," 45th Annual Transportation Research Forum, Evanston, Illinois, March 21-23, 2004 208244, Transportation Research Forum.
  58. Feng, Chenjia & Shao, Chengcheng & Wang, Xifan, 2021. "CSP clustering in unit commitment for power system production cost modeling," Renewable Energy, Elsevier, vol. 168(C), pages 1217-1228.
  59. Paul A. Chircop & Timothy J. Surendonk & Menkes H. L. van den Briel & Toby Walsh, 2022. "On routing and scheduling a fleet of resource-constrained vessels to provide ongoing continuous patrol coverage," Annals of Operations Research, Springer, vol. 312(2), pages 723-760, May.
  60. Allman, Andrew & Zhang, Qi, 2020. "Dynamic location of modular manufacturing facilities with relocation of individual modules," European Journal of Operational Research, Elsevier, vol. 286(2), pages 494-507.
  61. Drent, Melvin & Moradi, Poulad & Arts, Joachim, 2023. "Efficient emission reduction through dynamic supply mode selection," European Journal of Operational Research, Elsevier, vol. 311(3), pages 925-941.
  62. Hugo Harry Kramer & Eduardo Uchoa & Marcia Fampa & Viviane Köhler & François Vanderbeck, 2016. "Column generation approaches for the software clustering problem," Computational Optimization and Applications, Springer, vol. 64(3), pages 843-864, July.
  63. Heinemann, Hergen H., 1971. "Ein allgemeines Dekompositionsverfahren fuer lineare Optimierungsprobleme [A General Decomposition Algorithm for Linear Optimization Problems]," MPRA Paper 28842, University Library of Munich, Germany.
  64. Leão, Aline A.S. & Santos, Maristela O. & Hoto, Robinson & Arenales, Marcos N., 2011. "The constrained compartmentalized knapsack problem: mathematical models and solution methods," European Journal of Operational Research, Elsevier, vol. 212(3), pages 455-463, August.
  65. Ashwin Arulselvan & Mohsen Rezapour, 2017. "Exact Approaches for Designing Multifacility Buy-at-Bulk Networks," INFORMS Journal on Computing, INFORMS, vol. 29(4), pages 597-611, November.
  66. Hang Xu & Zhi-Long Chen & Srinivas Rajagopal & Sundar Arunapuram, 2003. "Solving a Practical Pickup and Delivery Problem," Transportation Science, INFORMS, vol. 37(3), pages 347-364, August.
  67. Desaulniers, G. & Desrosiers, J. & Dumas, Y. & Marc, S. & Rioux, B. & Solomon, M. M. & Soumis, F., 1997. "Crew pairing at Air France," European Journal of Operational Research, Elsevier, vol. 97(2), pages 245-259, March.
  68. Bani, Abderrahman & El Hallaoui, Issmail & Corréa, Ayoub Insa & Tahir, Adil, 2023. "Solving a real-world multi-depot multi-period petrol replenishment problem with complex loading constraints," European Journal of Operational Research, Elsevier, vol. 311(1), pages 154-172.
  69. Laurent Alfandari & Agnès Plateau & Xavier Schepler, 2014. "A Branch-and-Price-and-Cut approach for Sustainable Crop Rotation Planning," Working Papers hal-00987708, HAL.
  70. C. Archetti & M. Bouchard & G. Desaulniers, 2011. "Enhanced Branch and Price and Cut for Vehicle Routing with Split Deliveries and Time Windows," Transportation Science, INFORMS, vol. 45(3), pages 285-298, August.
  71. Xue, Li & Luo, Zhixing & Lim, Andrew, 2016. "Exact approaches for the pickup and delivery problem with loading cost," Omega, Elsevier, vol. 59(PB), pages 131-145.
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  82. Wakui, Tetsuya & Hashiguchi, Moe & Yokoyama, Ryohei, 2020. "A near-optimal solution method for coordinated operation planning problem of power- and heat-interchange networks using column generation-based decomposition," Energy, Elsevier, vol. 197(C).
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  85. Issmail Elhallaoui & Daniel Villeneuve & François Soumis & Guy Desaulniers, 2005. "Dynamic Aggregation of Set-Partitioning Constraints in Column Generation," Operations Research, INFORMS, vol. 53(4), pages 632-645, August.
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